activity
20182024
most citedNoetherian Operators in Macaulay2

7 citations · 13 across the 7 of their papers we have counts for

collaborators

8 papers

cs.SD2024★ 2 cited

EEND-M2F: Masked-attention mask transformers for speaker diarization

Marc Härkönen, Samuel J. Broughton, Lahiru Samarakoon

In this paper, we make the explicit connection between image segmentation methods and end-to-end diarization methods. From these insights, we propose a novel, fully end-to-end diar…

math.AC2024

Local dual spaces and primary decomposition

Justin Chen, Marc Härkönen, Anton Leykin

Generalizing the concept of the Macaulay inverse system, we introduce a way to describe localizations of an ideal in a polynomial ring. This leads to an approach to the differentia…

cs.SD2023

Transformer Attractors for Robust and Efficient End-to-End Neural Diarization

Lahiru Samarakoon, Samuel J. Broughton, Marc Härkönen +1

End-to-end neural diarization with encoder-decoder based attractors (EEND-EDA) is a method to perform diarization in a single neural network. EDA handles the diarization of a flexi…

stat.ML2022★ 1 cited

Gaussian Process Priors for Systems of Linear Partial Differential Equations with Constant Coefficients

Marc Härkönen, Markus Lange-Hegermann, Bogdan Raiţă

Partial differential equations (PDEs) are important tools to model physical systems and including them into machine learning models is an important way of incorporating physical kn…

math.AC2021

Linear PDE with Constant Coefficients

Rida Ait El Manssour, Marc Härkönen, Bernd Sturmfels

We discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients. These rest…

math.AC2021★ 7 cited

Noetherian Operators in Macaulay2

Justin Chen, Yairon Cid-Ruiz, Marc Härkönen +2

A primary ideal in a polynomial ring can be described by the variety it defines and a finite set of Noetherian operators, which are differential operators with polynomial coefficie…

math.AG2020★ 3 cited

Noetherian operators and primary decomposition

Justin Chen, Marc Härkönen, Robert Krone +1

Noetherian operators are differential operators that encode primary components of a polynomial ideal. We develop a framework, as well as algorithms, for computing Noetherian operat…

stat.CO2018

Holonomic extended least angle regression

Marc Härkönen, Tomonari Sei, Yoshihiro Hirose

One of the main problems studied in statistics is the fitting of models. Ideally, we would like to explain a large dataset with as few parameters as possible. There have been numer…